Padé-approximant techniques for processing scattering data II. Energy-dependent phase-shift analysis of low-energy^{4}He +^{2}H scattering

Article

Padé-approximant techniques for processing scattering data II. Energy-dependent phase-shift analysis of low-energy^{4}He +^{2}H scattering

Kukulin, V.~I.; Krasnopolsky, V.~M.; Kuznetsova, E.~V.; Horáček, J.

Czech. J. Phys. 40(0), 945-971 (1990)

Abstract

The general method for Padé-parametrization of experimental scattering data proposed by the authors recently has been applied to analytic parametrizations of theS-matrix and of partialwave amplitudes with the aim of carrying out an energy-dependent phase-shift analysis. It has been shown that the high universality and flexibility of the Padé-approximants make it possible to describe the partial-wave amplitudes by a very small number of parameters (say 2-3 in each partial wave) and to create a universal scheme for parametrization of the full reaction amplitude based on the following hybrid approach: the energy dependence of the inner partial amplitudes is represented by Padé approximants whereas the peripheral part of the full amplitude is taken from the low-order iterations of the exact many-particle Faddeev -Yakubovsky equations. As an example of the technique an energy-dependent phase-shift analysis of low-energy2H +4He scattering has been carried out and the parameters of the 3+ 0,2+ 0 and 1+ 0 resonant states of6Li have been obtained together with the value of the vertex constant of the virtual decay6Lig.s. rarr rarr4He +2H. The values of the energy and width obtained from experimental data of the 2+ 0 and particularly of the 1+ 0 level differ significantly from the values published in the literature.Dedicated to Professor J. Kvasnica on the occasion of his sixtieth birthday.

Institute authors

Horáček, Jiří

BibTeX

@article{UTF323,
  author        = {Kukulin, V.\textasciitilde{}I. and Krasnopolsky, V.\textasciitilde{}M. and Kuznetsova, E.\textasciitilde{}V. and Horáček, J.},
  title         = {{Padé-approximant techniques for processing scattering data II. Energy-dependent phase-shift analysis of low-energy\textasciicircum{}\{4\}He +\textasciicircum{}\{2\}H scattering}},
  journal       = {Czech. J. Phys.},
  volume        = {40},
  number        = {0},
  pages         = {945-971},
  year          = {1990},
  doi           = {10.1007/BF01607284},
  url           = {http://www.springerlink.com/content/q8173341t6p863ur/},
}